Some Diophantine Triples and Quadruples for Quadratic Polynomials
نویسنده
چکیده
In this paper, we give some new examples of polynomial D(n)triples and quadruples, i.e. sets of polynomials with integer coefficients, such that the product of any two of them plus a polynomial n ∈ Z[X] is a square of a polynomial with integer coefficients. The examples illustrate various theoretical properties and constructions for a quadratic polynomial n which appeared in recent papers. One of the examples gives a partial answer to the question about number of distinct D(n)-quadruples if n is an integer that is the product of twin primes. 2000 Mathematics Subject Classification: 11C08, 11D99.
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تاریخ انتشار 2011